414939672 has 160 divisors (see below), whose sum is σ = 1406639520. Its totient is φ = 111559680.

The previous prime is 414939671. The next prime is 414939673. The reversal of 414939672 is 276939414.

It is a happy number.

414939672 is a `hidden beast` number, since 4 + 1 + 493 + 96 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (414939671) and next prime (414939673).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414939671) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74422 + ... + 79802.

It is an arithmetic number, because the mean of its divisors is an integer number (8791497).

Almost surely, 2^414939672 is an apocalyptic number.

414939672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414939672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703319760).

414939672 is an abundant number, since it is smaller than the sum of its proper divisors (991699848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414939672 is a wasteful number, since it uses less digits than its factorization.

414939672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423 (or 5410 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 414939672 is about 20370.0680411235. The cubic root of 414939672 is about 745.8674471654.

The spelling of 414939672 in words is "four hundred fourteen million, nine hundred thirty-nine thousand, six hundred seventy-two".